A drill bit in a hand drill is turning at 1200 revolutions per minute (1200 rpm). Express this angular speed in radians per seco
1 answer:
You might be interested in
Answer:
(a) 58 cm
(b) 591.4 Hz
(c) 246.5 cm
Explanation:
(a)
For closed organ pipe, the wavelength is given by
where
is wavelength, L is the length of the pipe and n is the resonance
Substituting 217.5 m for L and 8 for n then the wavelength of the sound will be
(b)
We know that the speed of sound, v is a product of frequency and wavelength.
Making frequency the subject of the formula then
and since the velocity is given as 343 m/s and wavelength is already found in part a above but now we change units from cm to m then
(c)
We know that
The next resonance will be the 9th and we know the wavelength hence making L the subject then
Answer:
Explanation:
The reaction between hypothetical elements X and Y to produce hypothetical compound XY₂ is represented with the chemical equation:
- X + 2Y → XY₂
That equation means that one atom (or one mole of atoms) of element X reacts with 2 atoms (or two moles of atoms) of element Y to produce one molecule (one mole of molecules) of compound XY₂.
Elements X and Y are the reactants, and compound XY₂ is the product.
Hence, the mole ratio is:
- 1 mol X : 2 mol Y : 1 mol XY₂
Since, 10.0 mol of Y completely react you can set the corresponding proportions with X and XY₂ to find how many moles of them will be in the reaction:
<u>1. Moles of X</u>:
- Theoretical ratio: 1 mol of X / 2 mol of Y
- Ratio with 10.0 mol of Y: U / 10.0 mol of Y
- Proportion: equal the two ratios: 1 mol X / 2 mol Y = U / 10.0 mol Y
- Solve for U: U = 10.0 mol Y × 1 mol X / 2 mol Y = 5.0 mol X
- Result: 5.0 moles of X are in the reaction.
<u>2. Total moles of X and Y in the reaction:</u>
- The total number of moles is the sum of the moles of the two reactants: 10.0 moles of Y + 5.0 moles of X = 15.0 moles. Hence 15.0 mol of X and Y are in the reaction: option C).